3 papers
math.CT2025
On diagrams of algebras
Vladimir Hinich
We present a proof of the formula (given in Lurie's Higher Algebra) for the operad governing diagrams of operad algebras. We believe that our proof corrects a flaw in the original…
math.CT2024
On the equivalence of the Lurie's -operads and dendroidal -operads
Vladimir Hinich, Ieke Moerdijk
In this paper we prove the equivalence of two symmetric monoidal -categories of -operads, the one defined in Lurie's book on Higher Algebra and the one based on den…
math.RT2024
Root groupoid and related Lie superalgebras
Maria Gorelik, Vladimir Hinich, Vera Serganova
We introduce a notion of a root groupoid as a replacement of the notion of Weyl group for (Kac-Moody) Lie superalgebras. The objects of the root groupoid classify certain root data…